Each week, Florida Citrus, I.nc., uses a single machine for 1513! hours to distill orange and grapefruit juice into concentrates that are then stored in two separate l- gallon tanks before being frozen. The machine can process 25 gallons of orange juice per hour but only 21] gallons of grapefruit juice. Each gallon of orange juice cost $1.5D and loses 3D% in water content when distilled into a conoentrate that then sells for $ per gallon. Each gallon of grapefruitjuice costs $2.\") and loses 25% when distilled into a concentrate that then sells for $3.01) per gallon. Formulate a model to determine a production plan to maximize the prot for the coming week using the following Tvariables: (15 points} [1! = the number of gallons of orange juice to use this week, G! = the number of gallons of grapefruit juice to use this week